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Simplifying 10x + 5 + x + -13 = 2(4x + -4) + 2x Reorder the terms: 5 + -13 + 10x + x = 2(4x + -4) + 2x Combine like terms: 5 + -13 = -8 -8 + 10x + x = 2(4x + -4) + 2x Combine like terms: 10x + x = 11x -8 + 11x = 2(4x + -4) + 2x Reorder the terms: -8 + 11x = 2(-4 + 4x) + 2x -8 + 11x = (-4 * 2 + 4x * 2) + 2x -8 + 11x = (-8 + 8x) + 2x Combine like terms: 8x + 2x = 10x -8 + 11x = -8 + 10x Add '8' to each side of the equation. -8 + 8 + 11x = -8 + 8 + 10x Combine like terms: -8 + 8 = 0 0 + 11x = -8 + 8 + 10x 11x = -8 + 8 + 10x Combine like terms: -8 + 8 = 0 11x = 0 + 10x 11x = 10x Solving 11x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 1x = 10x + -10x Combine like terms: 10x + -10x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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